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Finding the Third Proportional to 1,043,652,820 and 2,236,701,387

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Solution

The third proportional to 1,043,652,820 and 2,236,701,387 is: 4,793,579,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,652,820 : 2,236,701,387 = 2,236,701,387 : x
  2. Step 2: Convert to fraction form
    1,043,652,820/2,236,701,387 = 2,236,701,387/x
  3. Step 3: Cross multiply
    1,043,652,820x = 2,236,701,387 × 2,236,701,387
  4. Step 4: Simplify right side
    1,043,652,820x = 5,002,833,094,607,723,520
  5. Step 5: Solve for x
    x = 5,002,833,094,607,723,520/1,043,652,820
  6. Step 6: Final answer
    x = 4,793,579,817.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.